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Finding the Third Proportional to 24,450 and 53,652

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Solution

The third proportional to 24,450 and 53,652 is: 117,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,450 : 53,652 = 53,652 : x
  2. Step 2: Convert to fraction form
    24,450/53,652 = 53,652/x
  3. Step 3: Cross multiply
    24,450x = 53,652 × 53,652
  4. Step 4: Simplify right side
    24,450x = 2,878,537,104
  5. Step 5: Solve for x
    x = 2,878,537,104/24,450
  6. Step 6: Final answer
    x = 117,731.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.